Abstract
Abstract In this paper we define and study basic properties of multivariate Archimedean quasi-copulas. In particular, we examine properties concerning generators, diagonal sections, permutation symmetry, level sets and order.
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References
Alsina, C., R. B. Nelsen and B. Schweizer (1993), On the characterization of a class of binary operations on distribution functions. Statist. Probab. Lett. 17, 85–89.
Genest, C. and R. J. MacKay (1986a), Copules archimédiennes et familles de lois bidimensionelles dont les marges sont données. Canad. J. Statist. 14, 145–159.
Genest, C. and R. J. MacKay (1986b), The joy of copulas: Bivariate distributions with uniform marginals. Amer. Statist. 40, 280–285.
Genest, C., J. J. Quesada-Molina, J. A. Rodríguez-Lallena and C. Sempi (1999), A characterization of quasi-copulas. J. Multivariate Anal. 69, 193–205.
Genest, C., J. J. Quesada-Molina, J. A. Rodríguez-Lallena and C. Sempi (2001), Multivariate quasi-copulas. To appear in J. Multivariate Anal.
Kimberling, C. H. (1974), A probabilistic interpretation of complete monotonicity. Aequationes Math. 10, 152–164.
Ling, C.-H. (1965), Representation of associative functions. Publ. Math. Debrecen 12, 189–212.
Nelsen, R. B. (1999), An Introduction to Copulas. New York: Springer-Verlag.
Nelsen, R. B., J. J. Quesada-Molina, B. Schweizer and C. Sempi (1996), Derivability of some operations on distribution functions. In: L. Rüschendorf, B. Schweizer and M. D. Taylor, (eds.): Distributions with Fixed Marginals and Related Topics. Hayward, CA.: IMS Lecture Notes-Monograph Series Number 28, pp. 233–243.
Schweizer, B. and A. Sklar (1983), Probabilistic Metric Spaces. New York: Elsevier.
Sklar, A. (1959), Fonctions de répartition à n dimensions et leurs marges. Publ. Inst. Statist. Univ. Paris 8, 229–231.
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Nelsen, R.B., Quesada-Molina, J.J., Rodríguez-Lallena, J.A., Úbeda-Flores, M. (2002). Multivariate Archimedean Quasi-Copulas. In: Cuadras, C.M., Fortiana, J., Rodriguez-Lallena, J.A. (eds) Distributions With Given Marginals and Statistical Modelling. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-0061-0_19
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DOI: https://doi.org/10.1007/978-94-017-0061-0_19
Publisher Name: Springer, Dordrecht
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